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Finding the Fourth Proportional to 13,665.62, 18,858.58 and 7,697.40

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Solution

The fourth proportional to 13,665.62, 18,858.58 and 7,697.40 is: 10,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.62 : 18,858.58 = 7,697.40 : x
  2. Step 2: Convert to fraction form
    13,665.62/18,858.58 = 7,697.40/x
  3. Step 3: Cross multiply
    13,665.62x = 18,858.58 × 7,697.40
  4. Step 4: Simplify right side
    13,665.62x = 145,161,943.73
  5. Step 5: Solve for x
    x = 145,161,943.73/13,665.62
  6. Step 6: Final answer
    x = 10,622.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.